Disclaimer: I work in a different program but this should be the same because I'm pretty sure the form is generic.
On day 1 of ground school you're going to get this I think six page packet stating what you're doing (since they'll already know you're doing the ATP and type). It'll have various pages for different options, including one that has a time summary if you're going for the ATP and another for SOE. You'll fill that out and give it to your ground instructor.
Checkride day you have to show your logbook to the examiner officially to get the ATP (or not get SOE). There's no reason an electronic one won't work, whether paper or electronic it's still relying on your honesty. If anything it'll be a quick glance then onto the oral.
Enjoy it. I'll be at the other end of the hall from the Beechjet sim so we'll likely run into one another.